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Position representation of single-mode Gaussian channels beyond the Gaussian functional form

Davalos, David ; Moreno, Camilo ; Urbina, Juan-Diego ; Pineda, Carlos



Abstract

We study one-mode Gaussian quantum channels in continuous-variable systems by performing ablack-boxcharacterization using complete positivity and trace preserving conditions, and report the existence of two subsets that do not have a functional Gaussian form. Our study covers as a particular limit the case of singular channels, thus connecting our results with their known classification scheme ...

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